Answer: $34.18
Step-by-step explanation:
Let the cost of the Jacket = $x and
The cost of the sweater. = $y
Now total price. = $71.55.
So, $x + $y. = $71.55 -- 1
From the second statements, the price of the sweater was $3.19 less than the price of the jacket. Transforming that into equation
y = ( x - $3.19 )
Now substitute for y in the equation (1) above.
x + ( x - 3.19 ) = 71.55
Now solve the equation
x + x - 3.19 = 71.55
2x - 3.19. = 71.55
2x = 71.55 + 3.19
2x. = 74.74
x = 74.74/2
= $37.37. cost of the jacket
Now to determine the cost of the sweater,
$71.55 - $37.37 = $34.18
The cost of the sweater = $34.18.
Find the sum: 15+20+25+30+35+...+875+880+885
Answer:
the actual answer is 78750
Step-by-step explanation:
summation of 2-176 in the equation 5n+5
Find the 12th term of the following geometric sequence.
10, 30, 90, 270,
Answer:
The 12th term is 1771470Step-by-step explanation:
Since the above sequence is a geometric sequence
An nth term of a geometric sequence is given by
[tex]A(n) = a(r)^{n - 1} [/tex]
where a is the first term
r is the common ratio
n is the number of terms
From the question
a = 10
To find the common ratio divide the previous term by the next term
That's
r = 30/10 = 3 or 90/30 = 3 or 270/90 = 3
Since we are finding the 12th term
n = 12
So the 12th term is
[tex]A(12) = 10( {3})^{12 - 1} [/tex]
[tex]A(12) = 10 ({3})^{11} [/tex]
A(12) = 1771470Hope this helps you
What is the y-intercept of the line described by the equation below? Y=3x - 6
We are given the equation y = 3x - 6
The slope-intercept form of a line is y = mx + b where m is the slope and b is the y-intercept.
The b value in this equation is -6, thus the y-intercept is -6.
Let me know if you need any clarifications, thanks!
What the answer fast
Answer:
HI = 13
Step-by-step explanation:
The triangle that is shown is a 45-45-90 triangle, so we know that GH = GJ = 9 and IJ = 13, we are able to solve for HI.
Technically, IJ = HI, since both triangles are congruent. Both IJ and HI will be 13.
11. A certain brand of margarine was analyzed to determine the level of polyunsaturated fatty acid (in percent). A sample of 6 packages had an average of 16.98 and sample standard deviation of 0.31. Assuming normality, a 99% confidence interval for the true mean of fatty acid level is:
Answer: (16.47, 17.49)
Step-by-step explanation:
Formula for confidence interval for the true mean if population stanmdard deviation is unknown:
[tex]\overline{x}\pm t_{\alpha/2}\dfrac{s}{\sqrt{n}}[/tex]
, where [tex]\overline{x}[/tex] = sample mean
n= sample size
s= sample standard deviation
[tex]t_{\alpha/2}[/tex] = Two tailed critical value.
We assume that the level of polyunsaturated fatty acid is normally distributed.
Given,
n= 6
degree of freedom = n-1 =5
[tex]\overline{x}[/tex] = 16.98
s= 0.31
significance level[tex](\alpha)[/tex] =1-0.99=0.01
Two tailed t- value for degree of freedom of 5 and significance level of 0.01 = [tex]t_{\alpha/2}=4.0317[/tex] [by student's t-table]
Now , the 99% confidence interval for the true mean of fatty acid level is:
[tex]16.98\pm 4.0317(\dfrac{0.31}{\sqrt{6}})\\\\=16.98\pm 4.0317(0.126557)\\\\=16.98\pm 0.51024\\\\=(16.98-0.51023,\ 16.98+0.51023)\\\\=(16.46977,\ 17.49023)\approx (16.47,\ 17.49)[/tex]
Hence, a 99% confidence interval for the true mean of fatty acid level is: (16.47, 17.49)
What is the sum of a 54-term arithmetic sequence where the first term is 6 and the last term is 377? (1 point) 10,341 10,388 10,759 11,130
Answer:
10,341
Step-by-step explanation:
[tex]S_{n}=\frac{n}{2} (a_1}+a_{n})\\S_{54}=\frac{54}{2} (6+377)=27 \times 383=10,341[/tex]
One angle of a right triangle measures 31° what is the measure of the other angle
Answer:
59°
Step-by-step explanation:
A triangle adds up to 180°. A right triangle has a 90° angle.
1. Set up the equation
90 + 31 + x = 180
2. Simplify
121 + x = 180
3. Solve for x by subtracting 121 from both sides
x = 59
Which graph represents exponential decay? On a coordinate plane, a straight line has a negative slope. On a coordinate plane, a graph starts at (negative 2, 0) and curves up and to the right into quadrant 1. On a coordinate plane, a graph approaches y = 0 in quadrant 1 and curves up into quadrant 2. On a coordinate plane, a graph approaches y = 0 in quadrant 2 and curves up into quadrant 1.
Answer:
The correct option is (C).
Step-by-step explanation:
The exponential function representing decay is as follows:
[tex]y=y_{0}\cdot e^{kt};\ k<0[/tex]
Here,
y = final value
y₀ = initial value
k = growth rate
t = time passed
The graph represents exponential decay is:
"On a coordinate plane, a graph approaches y = 0 in quadrant 1 and curves up into quadrant 2."
Thus, the correct option is (C).
Answer:
The answer is C
Step-by-step explanation:
I just took the test on edge
A theater is presenting a program on drinking and driving for students and their parents or other responsible adults. The proceeds will be donated to a local alcohol information center. Admission is $6.00 for adults and $3.00 for students. However, this situation has two constraints: The theater can hold no more than 240 people and for every two adults, there must be at least one student. How many adults and students should attend to raise the maximum amount of money?
Answer:
160 adults and 80 students
Step-by-step explanation:
With the information from the exercise we have the following system of equations:
Let x = number of students; y = number of adults
I want to maximize the following:
z = 3 * x + 6 * y
But with the following constraints
x + y = 240
y / 2 <= x
As the value is higher for adults, it is best to sell as much as possible for adults.
So let's solve the system of equations like this:
y / 2 + y = 240
3/2 * y = 240
y = 240 * 2/3
y = 160
Which means that the maximum profit is obtained when there are 160 adults and 80 students, so it is true that added to 240 and or every two adults, there must be at least one student.
Helppppppp ASAP pleaseee
Answer:
True
Step-by-step explanation:
Inverse variation on a graph is depicted by the movement of the graph diagram (line) in a downward motion
Answer:true
Step-by-step explanation:
CORRECT ANSWER WILL GET BRAINLIEST EO
Use the graph of f(x) to find the indicated function values.
ty
8
If x = 0, then f(0) =
4
If f(x) = 0, then x =
A
-3
-2
2
Done
Intro
Answer:
Step-by-step explanation:
if x=0 then f(x)=2 (0,2)
if f(x)=0 then x=-1 (-1,0)
If x = 0, then f(0) =
✔ 2.25
.
If f(x) = 0, then x =
✔ –1
.
Find the missing side of a triangle when one side is 3.16 and the other is 3
Answer:
0.992774 ≅ .993
Step-by-step explanation:
a²+b²=c²
a=x
b=3
c=3.16
x²+3²=3.16²
x²+9=9.9856
x²=.9856
x=0.992774
x≅0.993
On moving day, Guyton needs to rent a truck. The length of the cargo space is , and the height is less than the width. The brochure indicates that the truck can hold . What are the dimensions of the cargo space
On moving day, Guyton needs to rent a truck. The length of the cargo space is 10 ft , and the height is 1 ft less than the width. The brochure indicates that the truck can hold 420 ft3 . What are the dimensions of the cargo space? Assume that the cargo space is rectangular shape.
Answer:
The dimensions; width w is 7 ft and height is 6 ft
Step-by-step explanation:
L = 10 ft the length of the cargo space
w = the width of the cargo space
h = the height of the cargo space the height is 1 ft less than the width
h = w - 1
The truck can hold 420 ft^3 - this means the volume of the space V = 420 ft^3
But V = L*w*h
Substitute h = w - 1 into the Volume equation
Therefore,
10*w*(w - 1) = 420
10w^2 - 10w - 420 = 0
By Using quadratic equation formula to solve and considering positive answer,
w = {-b +- √(b^2 - 4ac)}/2a
Where;
a = 10, b = -10 and c = -420
w = {-(-10) +- √(-10^2 - 4(10)(-420)}/2(10)
w = {-(-10) +- 130}/20
w = (10 + 130)/20 = 140/20 = 7
Or
w = (10 -130)/20 = -120/20 = -6
Here,
I take positive answers and the width is 7 ft
Also, from h = w - 1
height = 7 - 1 = 6 ft
As per the question on a moving day, the Guyton is renting a truck and the length of his cargo the height of which is less than the width. The brochure indicates the trick that he can hold.
How much width and height does Guyton need in cargo space?The dimension of the cargo will be based on the amount of capacity of the cargo and the amount of cargo that needs to be moved. On the day of the move, he rent a truck. The L of all cargo space is given as 10 feet, and that of height is 1 foot which is less than the width. This brochure tells us that the truck can hold 420 feet.
Find out more information about the length of the cargo space.
brainly.com/question/1170096.
check whether -2 and 2 are zeroes of the polynomial x+2
Answer:
-2 is a zero of the polynomial. 2 is not a zero of the polynomial.
Step-by-step explanation:
A value of x is a zero of a polynomial if when it is substituted for x in the polynomial, it makes the polynomial evaluate to zero.
The polynomial is x + 2
Let x = -2:
x + 2 = -2 + 2 = 0
-2 is a zero of the polynomial.
Let x = 2:
x + 2 = 2 + 2 = 4
2 is not a zero of the polynomial.
A painter takes hours to paint a wall. How many hours will the painter take to paint 8 walls if she works at the same rate?
Answer:
20.8 hours
Step-by-step explanation:
2 3/5 = 2.6.The painter will take (2.6 × 8) = 20.8 hours to paint a wall.
Hope this helps and pls mark as brianliest :)
Answer:
20.8, 20 4/5, and 104/5
which equation can be used to solve for x in the following diagram? x° and (6x - 15)°
Answer:
= A
explanation :
the angle are right angle triangle which means it is always 90°Suppose we have 3 cards identical in form except that both sides of the first card are colored red, both sides of the second card are colored black, and one side of the third card is colored red and the other side is colored black. The 3 cards are mixed up in a hat, and 1 card is randomly selected and put down on the ground. If the upper side of the chosen card is colored red, what is the probability that the other side is colored black
Answer:
probability that the other side is colored black if the upper side of the chosen card is colored red = 1/3
Step-by-step explanation:
First of all;
Let B1 be the event that the card with two red sides is selected
Let B2 be the event that the
card with two black sides is selected
Let B3 be the event that the card with one red side and one black side is
selected
Let A be the event that the upper side of the selected card (when put down on the ground)
is red.
Now, from the question;
P(B3) = ⅓
P(A|B3) = ½
P(B1) = ⅓
P(A|B1) = 1
P(B2) = ⅓
P(A|B2)) = 0
(P(B3) = ⅓
P(A|B3) = ½
Now, we want to find the probability that the other side is colored black if the upper side of the chosen card is colored red. This probability is; P(B3|A). Thus, from the Bayes’ formula, it follows that;
P(B3|A) = [P(B3)•P(A|B3)]/[(P(B1)•P(A|B1)) + (P(B2)•P(A|B2)) + (P(B3)•P(A|B3))]
Thus;
P(B3|A) = [⅓×½]/[(⅓×1) + (⅓•0) + (⅓×½)]
P(B3|A) = (1/6)/(⅓ + 0 + 1/6)
P(B3|A) = (1/6)/(1/2)
P(B3|A) = 1/3
PLZ HELP ITS 20 POINTS Using the linear combination method, what is the solution to the system of linear equations 5 x + 3 y = negative 10 and Negative 20 x minus 7 y = 15? (–5, 1) (–1, 5) (1, –5) (5, –1)
Answer:
The answer is (1,-5). (i.e x=1 and y=-5).
Hope it helps..
Answer:
(1,-5)
Step-by-step explanation:
PLEASE HELP
A: 3.72
B: 15.75
C: 10.6
Answer:
3.716 m²
Step-by-step explanation:
10⁻² = 0.01, so 9.29 x 0.01 = 0.0929
multiple 0.0929 by 40 to get 3.716 m²
TWhich equation has the same solution as this equation. X^2 - 8x + 12 = 0
x² - 8x + 12 = 0
First of all we need to find the roots
Δ = b² - 4.a.c
Δ = (-8)² - 4 . 1 . 12
Δ = 64 - 4. 1 . 12
Δ = 16
Has 2 real roots
x = (-b +- √Δ)/2a
x' = (--8 + √16)/2.1
x'' = (--8 - √16)/2.1
x' = 12 / 2
x'' = 4 / 2
x' = 6
x'' = 2
So our equation can be solved with x = 6 and x = 2, therefore we can create two other equations with the same roots
x - 6 = 0
and
x - 2 = 0
Answer:
(x – 4)2 = 4
Step-by-step explanation:
This is a cross-sectional view of candy bar ABC. A candy company wants to create a cylindrical container for candy bar ABC so that it is circumscribed about the candy bar. If = 4 cm, what is the smallest diameter of wrapper that will fit the candy bar?
Answer:
Step-by-step explanation:
No figure supplied, so lots of assumptions needed.
Assume side length of triangle is 4 cm.
( If = 4 cm means ??)
Assume ABC is equiangular, all three angles are 60 degrees.
(This is a cross-sectional view, but don't see any)
Side length = 4
altitude of triangle = 4 sin(60) = 2sqrt(3)
radius of circumscribed circle of equilateral triangle
R = (2/3) altitude
= (2/3)*2sqrt(3)
= (4/3)sqrt(3)
Diameter
D = 2R
= (8/3) sqrt(3)
Answer: 8 cm
Step-by-step explanation:
The figure in the image attached below shows that there are two specific angles that are congruent to each other, angles AD and CD.
We are given the length of one of these angles:
AD= 4 cm so we must multiply 4 by 2, since there are TWO angles measuring 4 cm.
4 cm x 2 angles (AD and CD) =8 cm.
Proof of answer is shown below!
The chart below lists the original and sale prices of items at a clothing store.
Clothing Prices
Original price Sale price
$7.99
$5.59
$10.99
$7.69
$12.99
$9.09
$15.99
$11.19
$24.99
$17.49
$29.99
$20.99
Which statement best describes why the sale price is a function of the original price?
As the original price increases, the sale price also increases.
The sale price is always less than the original price.
For every original price, there is exactly one sale price.
The sales price is never less than zero.
Answer: C) For every original price, there is exactly one sale price.
For any function, we always have any input go to exactly one output. The original price is the input while the output is the sale price. If we had an original price of say $100, and two sale prices of $90 and $80, then the question would be "which is the true sale price?" and it would be ambiguous. This is one example of how useful it is to have one output for any input. The input in question must be in the domain.
As the table shows, we do not have any repeated original prices leading to different sale prices.
Answer:
C STAY SAFE!!!
Step-by-step explanation:
Ok we know this cant be A the reason is It says tha the original price is increasing so thats FALSE... its trying to trick you so no
The second choice says The sale price is always less than the original price. well take a look at the sale prices are they? Obiously not so False
Ok the third option For every original price, there is exactly one sale price. well this is true ask yourself each it helps.
Last option The sales price is never less than zero. erm FALSE OBIOUSLY THIS IS TRUE JUST NOT TRUE ITS WRONG
THE ANSER IS C
Simplify negative 2 and 1 over 6 – negative 7 and 1 over 3. negative 5 and 1 over 6 negative 9 and 3 over 6 9 and 3 over 6 5 and 1 over 6 Question 12(Multiple Choice Worth 5 points)
Answer:
5 and 1 over 6
Step-by-step explanation:
Simplifying the given:
Negative 2 and 1 over 6 – negative 7 and 1 over 3 ⇒ translated as:- 2 1/6 - (-7 1/3) = ⇒ cancelling negatives and changing mixed fractions to improper fractions- 13/6 + 22/3 = ⇒ bringing to same denominator- 13/6 + 44/6 = ⇒ calculating the numerator31/6 = ⇒ making mixed fraction5 1/6 ⇒ answerCorrect choice is the last one: 5 and 1 over 6
5 and 1 over 6 .......................................
Solve polynomials 7/5 + 3/4 × 2 / 5-3 / 2
Answer:
Step-by-step explanation:
7/5 + 3/4 x 2/5 - 3/2
7/5 + 3/10 - 3/2
17/10 - 3/2
1/5
Step-by-step explanation:
Here, the given polynomial are,
=7/5+3/4×2/5-3/2
multiplying 3/4 and 2/5
= 7/5+6/20-3/2
taking LCM and adding them.
=(7×4+6×1-3×10)/20
by simplifying it we get, the answer is 1/5.
Hope it helps..
I don’t know this one
Answer:
[tex]\sqrt{x-4} +5[/tex]
Step-by-step explanation:
the conjugate of [tex]\sqrt{x-4} -5[/tex] is the term that completes a²-b² when multiplied by each other
a = [tex]\sqrt{x-4}[/tex] b = 5a²-b² = (a+b)(a-b)
(a-b)(a+b) =([tex]\sqrt{x-4}[/tex] -5)([tex]\sqrt{x-4}[/tex] +5)A 5-ounce container of Greek yogurt contains 140 calories. Find the unit rate of calories per ounce
Answer:
28
Step-by-step explanation:
140 calories over 5 ounce
= 28
The unit rate of calories per ounce will be 28 calories/ ounce
What is proportion ?
A proportion is an equation based on the equality of two ratios.
It is given that 5-ounce container of Greek yogurt contains 140 calories and it is to calculate for one ounce calories contain in Greek yogurt :
[tex]\begin{aligned}5 \text{\:ounce}&\rightarrow 140 \text{\:calories}\\1 \text{\:ounce}&\rightarrow \frac{140}{5}\text{\:calories} \\&\rightarrow 28 \text{\:calories}\end{aligned}[/tex]
Therefore, the unit rate of calories per ounce will be 28 calories/ ounce
Read more about ratio at:
https://brainly.com/question/17869111
#SPJ2
Which system of equations represents the matrix shown below?
Answer:
c
Step-by-step explanation:
im not too sure
please help me, i will give you brainliest
Answer:
Refeect circle A over the the y line = x
Step-by-step explanation:
The value of y varies inversely as the square of x, and y = 9, when x = 4.
Find the value of x when y = 1. Do not include "=" in your answer.
Answer:
The answer is
12Step-by-step explanation:
The above variation is written as
[tex]y = \frac{k}{ {x}^{2} } [/tex]
where k is the constant of variation
when y = 9
x = 4
We have
k = yx²
k = 9(4)²
k = 9 × 16
k = 144
So the formula for the variation is
[tex]y = \frac{144}{ {x}^{2} } [/tex]
when y = 1
[tex]1 = \frac{144}{ {x}^{2} } [/tex]
Cross multiply
x² = 144
Find the square root of both sides
x = √144
x = 12
Hope this helps you.
±2
Step-by-step explanation:
Use a graphing calculator to sketch the graph of the quadratic equation and then give the coordinates for the x-intercepts (if they exist) y=x2+7x+10 A (-2,0),(5,0) B (2,0);(-5,0) C (2,0);(5,0) D (-2,0);(-5,0)
Answer:
Option D.
Step-by-step explanation:
The given quadratic equation is
[tex]y=x^2+7x+10[/tex]
We need to draw the graph of given equation by using graphing calculator as shown below.
From the graph it is clear that the parabola intersect the x-axis at points (-2,0) and (-5,0). So, the x-intercepts are (-2,0) and (-5,0).
Therefore, the correct option is D.